4293285120 has 504 divisors, whose sum is σ = 15924607776. Its totient is φ = 1107800064.

The previous prime is 4293285119. The next prime is 4293285127. The reversal of 4293285120 is 215823924.

It is a happy number.

4293285120 is a `hidden beast` number, since 429 + 32 + 85 + 120 = 666.

It is a super-2 number, since 2×4293285120² = 36864594243226828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4293285127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 40124107 + ... + 40124213.

It is an arithmetic number, because the mean of its divisors is an integer number (31596444).

Almost surely, 2^4293285120 is an apocalyptic number.

4293285120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4293285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962303888).

4293285120 is an abundant number, since it is smaller than the sum of its proper divisors (11631322656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4293285120 is an equidigital number, since it uses as much as digits as its factorization.

4293285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4293285120 is about 65523.1647587325. The cubic root of 4293285120 is about 1625.2864340841.

The spelling of 4293285120 in words is "four billion, two hundred ninety-three million, two hundred eighty-five thousand, one hundred twenty".